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Finding the Fourth Proportional to 6,677.60, 10,011.60 and 3,756.80

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Solution

The fourth proportional to 6,677.60, 10,011.60 and 3,756.80 is: 5,632.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,677.60 : 10,011.60 = 3,756.80 : x
  2. Step 2: Convert to fraction form
    6,677.60/10,011.60 = 3,756.80/x
  3. Step 3: Cross multiply
    6,677.60x = 10,011.60 × 3,756.80
  4. Step 4: Simplify right side
    6,677.60x = 37,611,578.88
  5. Step 5: Solve for x
    x = 37,611,578.88/6,677.60
  6. Step 6: Final answer
    x = 5,632.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.